theorem modeRate_in_unit_interval {k : ℕ} (hk : 2 ≤ k) {m : ℕ} (hm : 3 ≤ m) : 0 < modeRate k m ∧ modeRate k m < 1 := ⟨modeRate_pos (by omega) m, modeRate_lt_one hk hm⟩
thesis/CESProofs/Foundations/Emergence.lean:168
Emergence results from Paper 1, Sections 3-5: